Trevor is tiling his bathroom floor, which has an area that is represented as 120r3 square inches. Each tile has an area of square root of the quantity 16 r to the ninth power. The total number of tiles used can be represented by the expression below.
one hundred twenty r to the third power, all over the square root of the quantity sixteen r to the ninth power

Simplify the expression for the total number of tiles used. Show your work.

Question

Trevor is tiling his bathroom floor, which has an area that is represented as 120r3 square inches. Each tile has an area of square root of the quantity 16 r to the ninth power. The total number of tiles used can be represented by the expression below.
one hundred twenty r to the third power, all over the square root of the quantity sixteen r to the ninth power

Simplify the expression for the total number of tiles used. Show your work.